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6 years ago , the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar’s age at present ?

a) 16 years
b) 18 years
c) 20 years
d) Cannot be determined

Answer: a
Explanation: Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years
$$\eqalign{ & \frac{{\left( {6x + 6} \right) + 4}}{{\left( {5x + 6} \right) + 4}} = \frac{{11}}{{10}} \cr & \frac{{6x + 10}}{{5x + 10}} = \frac{{11}}{{10}} \cr & 10\left( {6x + 10} \right) = 11\left( {5x + 10} \right) \cr & 60x + 100 = 55x + 100 \cr & 5x = 10 \cr & x = 2 \cr} $$
Sagar’s present age
= (5x + 6) years
= (5 × 2 + 6) years
= 16 years

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